

A078438


a(n) = least positive integer solution k to h(k) = h(k1)+h(k2)+...+h(kn), where h(n) is the length of n, f(n), f(f(n)), ...., 1 in the Collatz (or 3x + 1) problem. (The earliest "1" is meant.)


0




OFFSET

1,1


COMMENTS

1. Recall that f(n) = n/2 if n is even; = 3n + 1 if n is odd. 2. Problem: Is a(n) defined for all n, that is, does a positive integer solution k to h(n) = h(k1)+h(k2)+...+h(kn) always exist?


LINKS



EXAMPLE

k = 235 is the least k satisfying h(k) = h(k1)+h(k2)+h(k3), so a(3) = 235.


CROSSREFS



KEYWORD

more,nonn


AUTHOR



EXTENSIONS



STATUS

approved



